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Cited by 1,128Mathematical Dynamics and FractalsStochastic processes and statistical mechanicsadvanced mathematical theories

Ergodic Theory

Cornfeld, I. P., Fomin, S. V., Sinai, Ya. G.·1982·Grundlehren der mathematischen Wissenschaften
DOI 10.1007/978-1-4615-6927-5
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  • Because of invariance under the mapping class group, the true physical motion in the torus moduli space is much more complicated; there are arbitrarily long geodesics, and the flow is ergodic.

    “the true physical motion in the moduli space of the torus — the space of physical configurations with the large diffeomorphisms modded out — is much more complicated; there are arbitrarily long geodesics, and the flow is, in fact, ergodic [93].”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [93]

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Authors
Cornfeld, I. P., Fomin, S. V., & Sinai, Y. G.
Affiliations
Landau Institute for Theoretical Physics (RU)
Venue
Grundlehren der mathematischen Wissenschaften
Publisher
Springer New York
Published
1982
ISSN
0072-7830 (ISSN-L)
DOI
10.1007/978-1-4615-6927-5
OpenAlex
W4255338393
Cited by
1,128
References
0
Citations by year
2026: 27 · 2025: 24 · 2024: 38 · 2023: 40 · 2022: 29 · 2021: 30 · 2020: 25 · 2019: 20 · 2018: 27 · 2017: 35 · 2016: 41 · 2015: 39 · 2014: 39 · 2013: 32 · 2012: 44
FWCI
3.45
Type
book
Language
de
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
  • Grundlehren der mathematischen Wissenschaften (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
  • Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
  • Physical Sciences › Mathematics › Mathematical Physics › advanced mathematical theories
Keywords
ergodic theory, measure-preserving transformations, ergodicity, recurrence, mixing, invariant measures

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